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Finding the Fourth Proportional to 200.68, 301.14 and 109.60

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Solution

The fourth proportional to 200.68, 301.14 and 109.60 is: 164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.68 : 301.14 = 109.60 : x
  2. Step 2: Convert to fraction form
    200.68/301.14 = 109.60/x
  3. Step 3: Cross multiply
    200.68x = 301.14 × 109.60
  4. Step 4: Simplify right side
    200.68x = 33,004.94
  5. Step 5: Solve for x
    x = 33,004.94/200.68
  6. Step 6: Final answer
    x = 164.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.